Use the substitution u = sec x to evaluate tanx sec x dx 1 -sin 4x + C 32 -sin 2 x + + + C 1 sin 4x + C 32 + -sin 2x– 4 -sec'x + sec x + C + C sec'x 3x - sec x + C

Q: 3х -5х+1 5. H(х) %3 x*- 4х H'(x)==2 -7х-2х+4 (x²-4x) %3D

A: Quotient Rule where u' = du/dx

Q: X 2 Find x² +1 -dx

A:

Q: Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

A:

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: sec^2 x + tan x = 1

A:

Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: 6) - secx tanxd x

A:

Q: On what interval is the function x^3-4x^2+5x concave down

A:

Q: tanx CSC x seC x - tan X + cotx

A:

Q: Compute / tan x · sec a dæ.

A: detailed solution is given below